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Pentatonic Functional Just System: Difference between revisions

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→Ratios of 7: complete table
Line 25: Line 25:
| 1024/729 || 588.3 || <sub>5</sub>A3
| 1024/729 || 588.3 || <sub>5</sub>A3
|-
|-
| 2729/512 || 611.7 || <sub>5</sub>d4
| 729/512 || 611.7 || <sub>5</sub>d4
|-
|-
| 3/2 || 702.0 || <sub>5</sub>P4
| 3/2 || 702.0 || <sub>5</sub>P4
Line 47: Line 47:
Since we are using a pentatonic system of notation, and [[5edo]] represents the [[2.3.7 subgroup]] very well, we will investigate ratios with factors of 7 before ratios with a factor of 5. Just like in the FJS, we will be using [[64/63]] as our formal comma.
Since we are using a pentatonic system of notation, and [[5edo]] represents the [[2.3.7 subgroup]] very well, we will investigate ratios with factors of 7 before ratios with a factor of 5. Just like in the FJS, we will be using [[64/63]] as our formal comma.
{| class="wikitable"
{| class="wikitable"
|+ Septimal ratios
|+ Ratios with a factor of 7
|-
|-
! Ratio !! Cents !! Interval name<br>(Pentatonic)
! Ratio !! Cents !! Interval name<br>(Pentatonic)
|-
|-
| 1/1 || 0.0 || <sub>5</sub>P1
| 64/63 || 27.3 || <sub>5</sub>P1<sub>7</sub>
|-
|-
| 256/243 || 90.2 || <sub>5</sub>A1
| 28/27 || 63.0 || <sub>5</sub>A1<sup>7</sup>
|-
|-
| 2187/2048 || 113.7 || <sub>5</sub>d2
| 243/224 || 140.9 || <sub>5</sub>d2<sub>7</sub>
|-
|-
| 9/8 || 203.9 || <sub>5</sub>m2
| 8/7 || 231.2 || <sub>5</sub>m2<sub>7</sub>
|-
|-
| 32/27 || 294.1 || <sub>5</sub>M2
| 7/6 || 266.9 || <sub>5</sub>M2<sup>7</sup>
|-
|-
| 81/64 || 407.8 || <sub>5</sub>d3
| 9/7 || 435.1 || <sub>5</sub>d3<sub>7</sub>
|-
|-
| 4/3 || 498.0 || <sub>5</sub>P3
| 21/16 || 470.8 || <sub>5</sub>P3<sup>7</sup>
|-
|-
| 1024/729 || 588.3 || <sub>5</sub>A3
| 112/81 || 561.0 || <sub>5</sub>A3<sup>7</sup>
|-
|-
| 2729/512 || 611.7 || <sub>5</sub>d4
| 81/56 || 639.0 || <sub>5</sub>d4<sub>7</sub>
|-
|-
| 3/2 || 702.0 || <sub>5</sub>P4
| 32/21 || 729.2 || <sub>5</sub>P4<sub>7</sub>
|-
|-
| 128/81 || 792.2 || <sub>5</sub>A4
| 14/9 || 764.9 || <sub>5</sub>A4<sup>7</sup>
|-
|-
| 27/16 || 905.9 || <sub>5</sub>m5
| 12/7 || 933.1 || <sub>5</sub>m5<sub>7</sub>
|-
|-
| 16/9 || 996.1 || <sub>5</sub>M5
| 7/4 || 968.8 || <sub>5</sub>M5<sup>7</sup>
|-
|-
| 4096/2187 || 1086.3 || <sub>5</sub>A5
| 448/243 || 1059.1 || <sub>5</sub>A5<sup>7</sup>
|-
|-
| 243/128 || 1109.8 || <sub>5</sub>d6
| 27/14 || 1137.0 || <sub>5</sub>d6<sub>7</sub>
|-
|-
| 2/1 || 1200.0 || <sub>5</sub>P6
| 63/32 || 1200.0 || <sub>5</sub>P6<sup>7</sup>
|}
|}
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